东南大学学报（自然科学版）2011，Vol.41Issue(3)：616-621,6.DOI:10.3969/j.issn.1001-0505.2011.03.036
基于机构位移模态的受荷可展结构平衡状态找形方法
Form-finding approach for equilibrium configuration of deployable structure subjected to external loads based on internal mechanism
摘要
Abstract
Based on the common characteristics of under-constraint and over-constraint mechanism,a form-finding approach for equilibrium configuration of deployable structure subjected to external loads is proposed. The potential energy equation of system is established. Utilizing the rapid convergence theory of the steepest descent method, the combination coefficient of mechanism modes is deduced, which can be used for the determination of the movement direction under different load patterns. The inextensional mechanism mode is generated by the singular value decomposition of equilibrium matrix for deployable structure. The detailed algorithm procedure for the form-finding approach is conducted and the criterion of equilibrium configuration is also presented in the paper. Finally, the numerical simulation of a three-dimensional pin-jointed mechanism and a radial retractable structure are illustrated. Furthermore, the expansion ratio of the retractable structure under different load patterns is discussed. The analysis shows that the unified form-finding approach based on internal mechanism had good accuracy and robustness.关键词
可展结构/机构位移模态/找形分析/荷载模式/平衡矩阵Key words
deployable structure/ internal mechanism/ form-finding analysis/ load pattern/ equilibrium matrix分类
建筑与水利引用本文复制引用
陆金钰,舒赣平,李娜..基于机构位移模态的受荷可展结构平衡状态找形方法[J].东南大学学报（自然科学版）,2011,41(3):616-621,6.基金项目
国家自然科学基金资助项目(51008065)、江苏省自然科学基金资助项目(BK2009287).教育部博士点新教师基金资助项目(20090092120017)、中国博士后科学基金资助项目(20100471367)、东南大学新进博士科研启动基金资助项目(9205000020). （51008065）
